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Finding the Third Proportional to 1,301.91 and 2,789.86

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Solution

The third proportional to 1,301.91 and 2,789.86 is: 5,978.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.91 : 2,789.86 = 2,789.86 : x
  2. Step 2: Convert to fraction form
    1,301.91/2,789.86 = 2,789.86/x
  3. Step 3: Cross multiply
    1,301.91x = 2,789.86 × 2,789.86
  4. Step 4: Simplify right side
    1,301.91x = 7,783,315.33
  5. Step 5: Solve for x
    x = 7,783,315.33/1,301.91
  6. Step 6: Final answer
    x = 5,978.40

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.